Let v1, v2,..., vm be fixed vectors in Rn, and let T : Rn Rm be the function defined by
Chapter 8, Problem 4(choose chapter or problem)
Let v1, v2,..., vm be fixed vectors in Rn, and let T : Rn Rm be the function defined by T(x) = (x v1, x v2,..., x vm), where x vi is the Euclidean inner product on Rn. (a) Show that T is a linear transformation. (b) Show that the matrix with row vectors v1, v2,..., vm is the standard matrix for T .
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